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Finding the Fourth Proportional to 471,541.01, 707,361.89 and 201,697.07

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Solution

The fourth proportional to 471,541.01, 707,361.89 and 201,697.07 is: 302,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,541.01 : 707,361.89 = 201,697.07 : x
  2. Step 2: Convert to fraction form
    471,541.01/707,361.89 = 201,697.07/x
  3. Step 3: Cross multiply
    471,541.01x = 707,361.89 × 201,697.07
  4. Step 4: Simplify right side
    471,541.01x = 142,672,819,634.18
  5. Step 5: Solve for x
    x = 142,672,819,634.18/471,541.01
  6. Step 6: Final answer
    x = 302,567.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.